I don't think so.
I managed fifteen flats for ten years and the only consideration is being paid.
I would say the woman in the article is not actually what I would consider "DSS" in that she receives some form of top-up to her wage.
"On benefit" or "DSS" to me means an unemployed person who has no other income and as such became undesirable when the benefit office decided to pay the housing benefit to the claimant, rather than directly to the landlord, as a way of trying to instill a sense of responsibility to the claimant.
Of course, this did not work and instead lead to, in my experience, an increase in the sale of, for example, iphones.
There used to be nothing more infuriating than getting a message saying 'Can't pay the rent this month - sent from my iphone' knowing they had just received the rental amount.
Plus - the Housing Benefit Office do not pay a deposit but give a 'bond' and say they will pay for any damage at the end of a tenancy - but, of course, the procedure is extremely laborious and time consuming.
So, it is as much, if not more, a case of not wanting to have to deal with the bureaucrats as it is not wanting the tenant as a person.
Consequently no more DSS unemployed people of whichever gender were given a tenancy.